Finite Mathematics
7th Edition
ISBN: 9781337280426
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 4.2, Problem 49E
To determine
To calculate: The translation of the systems of equations
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
31.
On Feb. 8, this year, at 6am in the morning all UiB meteorology professors met to discuss a highly unfortunate
and top-urgent crisis: Their most precious instrument, responsible for measuring the air temperature hour-by-
hour, had failed - what if the Bergen public would find out? How would they plan their weekend without
up-to-date air temperature readings? Silent devastation - and maybe a hint of panic, also - hung in the room.
Apprentice Taylor, who - as always - was late to the meeting, sensed that this was his chance to shine! Could
they fake the data? At least for some hours (until the measurements would work again)? He used to spend a
lot of time online and thus knew the value of fake data, especially when it spread fast!
He reminded the crying professors of a prehistoric project with the title "Love your derivatives as you love
yourself!" - back then, they had installed top-modern technology that not only measured the air temperature
itself, but also its 1st, 2nd, 3rd, 4th, and…
Consider a forest where the population of a particular plant species grows exponentially. In a real-world
scenario, we often deal with systems where the analytical function describing the phenomenon is not available.
In such cases, numerical methods come in handy.
For the sake of this task, however, you are provided with an analytical function so that you can compare
the results of the numerical methods to some ground truth. The population P(t) of the plants at time t (in
years) is given by the equation:
P(t) = 200
0.03 t
You are tasked with estimating the rate of change of the plant population at t = 5 years using numerical
differentiation methods. First, compute the value of P'(t) at t = 5 analytically. Then, estimate P'(t) at t = 5
years using the following numerical differentiation methods:
⚫ forward difference method (2nd-order accurate)
3
⚫ backward difference method (2nd-order accurate)
⚫ central difference method (2nd-order accurate)
Use h = 0.5 as the step size and round all…
Chapter 4 Solutions
Finite Mathematics
Ch. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - In Exercises 110, find the dimensions of the given...
Ch. 4.1 - Solve for x,y,z,andw. [HINT: See Example 1.]...Ch. 4.1 - Prob. 12ECh. 4.1 - In Exercises 1320, evaluate the given expression....Ch. 4.1 - Prob. 14ECh. 4.1 - In Exercises 1320, evaluate the given expression....Ch. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - In Exercises 1320, evaluate the given expression....Ch. 4.1 - In Exercises 2128, evaluate the given expression....Ch. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - In Exercises 2128, evaluate the given expression....Ch. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - In Exercises 2128, evaluate the given expression....Ch. 4.1 - Prob. 29ECh. 4.1 - In Exercises 2936, use technology to evaluate the...Ch. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - In Exercises 2936, use technology to evaluate the...Ch. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Inventory The Left Coast Bookstore chain has two...Ch. 4.1 - Inventory The Left Coast Bookstore chain discussed...Ch. 4.1 - Profit Annual revenues and production costs at...Ch. 4.1 - Revenue The following spreadsheet gives annual...Ch. 4.1 - Population Movement In 2000 the U.S. population,...Ch. 4.1 - Population Movement In 1990 the U.S. population,...Ch. 4.1 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.1 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Inventory Microbucks Computer Company makes two...Ch. 4.1 - Inventory Microbucks Computer Company, besides...Ch. 4.1 - Prob. 51ECh. 4.1 - Tourism in the 1990s Referring to the 1998 tourism...Ch. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 66ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 2ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 4ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 11ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 19ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Repeat Exercises 29 with A=[0201002000020000].Ch. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Prob. 36ECh. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Prob. 39ECh. 4.2 - In Exercises 3944, calculate (a) P2=PP, (b)...Ch. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - In Exercises 4548, translate the given matrix...Ch. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - In Exercises 4952, translate the given systems of...Ch. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Revenue Karen Sandberg, your competitor in...Ch. 4.2 - Real Estate The following table shows the cost of...Ch. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Income Exercises 5962 are based on the following...Ch. 4.2 - Income Exercises 5962 are based on the following...Ch. 4.2 - Income Exercises 5962 are based on the following...Ch. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.2 - Prob. 69ECh. 4.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.2 - Prob. 71ECh. 4.2 - Profits Refer back to Exercise 71. It actually...Ch. 4.2 - Tourism in the 1990s The following table gives the...Ch. 4.2 - Prob. 74ECh. 4.2 - Population Movement In 2008 the population of the...Ch. 4.2 - Prob. 76ECh. 4.2 - Give an example of two matrices A and B such that...Ch. 4.2 - Prob. 78ECh. 4.2 - Prob. 79ECh. 4.2 - Prob. 80ECh. 4.2 - Prob. 81ECh. 4.2 - Prob. 82ECh. 4.2 - Prob. 83ECh. 4.2 - Prob. 84ECh. 4.2 - Prob. 85ECh. 4.2 - Prob. 86ECh. 4.3 - In Exercises 16, determine whether or not the...Ch. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - In Exercises 16, determine whether or not the...Ch. 4.3 - In Exercises 16, determine whether or not the...Ch. 4.3 - Prob. 6ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 9ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 11ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 13ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 26ECh. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - Prob. 29ECh. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - Prob. 32ECh. 4.3 - Prob. 33ECh. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - In Exercises 3542, use technology to find the...Ch. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - In Exercises 3542, use technology to find the...Ch. 4.3 - In Exercises 3542, use technology to find the...Ch. 4.3 - Prob. 42ECh. 4.3 - In Exercises 4348, use matrix inversion to solve...Ch. 4.3 - Prob. 44ECh. 4.3 - In Exercises 4348, use matrix inversion to solve...Ch. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - In Exercises 4348, use matrix inversion to solve...Ch. 4.3 - Prob. 49ECh. 4.3 - In Exercises 49 and 50, use matrix inversion to...Ch. 4.3 - Prob. 51ECh. 4.3 - Some of the following exercises are similar or...Ch. 4.3 - Some of the following exercises are similar or...Ch. 4.3 - Some of the following exercises are similar or...Ch. 4.3 - Investing: Inverse ETFs (Exchange Traded Funds)...Ch. 4.3 - Investing: Inverse ETFs (Exchange Traded Funds)...Ch. 4.3 - Investing: Lesser-Known Stocks Exercises 5758 are...Ch. 4.3 - Prob. 58ECh. 4.3 - Population Movement In 2009 the population of the...Ch. 4.3 - Population Movement Assume that the percentages...Ch. 4.3 - Rotations If a point (x,y) in the plane is rotated...Ch. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Encryption Matrices are commonly used to encrypt...Ch. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - Derive the formula in Exercise 71 using row...Ch. 4.3 - Prob. 73ECh. 4.3 - Prob. 74ECh. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - Prob. 77ECh. 4.3 - Your friend has two square matrices A and B,...Ch. 4.4 - In Exercises 14, calculate the expected payoff of...Ch. 4.4 - In Exercises 14, calculate the expected payoff of...Ch. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - In Exercises 58, either a mixed column or mixed...Ch. 4.4 - In Exercises 58, either a mixed column or mixed...Ch. 4.4 - Prob. 7ECh. 4.4 - In Exercises 58, either a mixed column or mixed...Ch. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - Prob. 12ECh. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - Prob. 14ECh. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - Prob. 19ECh. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 2124, find (a) the optimal mixed row...Ch. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - In Exercises 2532, set up the payoff matrix. Games...Ch. 4.4 - In Exercises 2532, set up the payoff matrix. Games...Ch. 4.4 - In Exercises 2532, set up the payoff matrix. War...Ch. 4.4 - In Exercises 2532, set up the payoff matrix. War...Ch. 4.4 - In Exercises 2532, set up the payoff matrix....Ch. 4.4 - In Exercises 2532, set up the payoff matrix....Ch. 4.4 - In Exercises 2532, set up the payoff matrix....Ch. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - More Retail Discount Wars Your Abercrom B mens...Ch. 4.4 - Factory Location22 A manufacturer of electrical...Ch. 4.4 - Crop Choice23 A farmer has a choice of growing...Ch. 4.4 - Study Techniques Your mathematics test is tomorrow...Ch. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Textbook Writing You are writing a college-level...Ch. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Wrestling Tournaments City Community College (CCC)...Ch. 4.4 - Wrestling Tournaments (Refer to Exercise 43.) One...Ch. 4.4 - The Battle of Rabaul-Lae25 In the Second World...Ch. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Campaign Strategies27 Florida and Ohio are swing...Ch. 4.4 - Campaign Strategies Repeat Exercise 49, this time...Ch. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.5 - Let A be the technology matrix A=[0.20.050.80.01],...Ch. 4.5 - Prob. 2ECh. 4.5 - Each unit of television news requires 0.2 units of...Ch. 4.5 - Production of one unit of cologne requires no...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - Prob. 9ECh. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - Prob. 11ECh. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Let (IA)1=[0.50.100.21.20.10.10.71.6], and assume...Ch. 4.5 - Prob. 16ECh. 4.5 - In Exercises 17 and 18, obtain the technology...Ch. 4.5 - Prob. 18ECh. 4.5 - Campus Food The two campus cafeterias, the Main...Ch. 4.5 - Plagiarism Two student groups at Enormous State...Ch. 4.5 - Communication Equipment Two sectors of the U.S....Ch. 4.5 - Prob. 22ECh. 4.5 - Australia Economy Two sectors of the Australian...Ch. 4.5 - Prob. 24ECh. 4.5 - Mexico Economy Economists generally divide a...Ch. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Mexico Economy Economists generally divide a...Ch. 4.5 - Mexico Economy Economists generally divide a...Ch. 4.5 - Exercises 3134 require the use of technology....Ch. 4.5 - Exercises 3134 require the use of technology....Ch. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Can an external demand be met by an economy whose...Ch. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - Prob. 14RECh. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - In Exercises 2124, solve the game with the given...Ch. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - In Exercises 2528, find the production vector X...Ch. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - OHaganBooks.com has two main...Ch. 4 - OHaganBooks.com has two main...Ch. 4 - Prob. 41RECh. 4 - OHaganBooks.com has two main...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Prob. 52RE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Q/ By using polar Coordinates show that the system below has a limit cycle and show the stability of + his limit cycle: X² = x + x(x² + y² -1) y* = −x + y (x² + y²-1) -xarrow_forwardxy Q/Given H (X,Y) = ex-XX+1 be a first integral find the corresponding system and study the Stability of of critical point of this system.arrow_forwardQ/ show that H (X,Y) = x²-4x-x² is 2 first integral of the system Y° = y 0 y° = 2x + x 3 then study the stability of critical point and draw phase portrait.arrow_forward
- Q/Given the function H (X,Y) = H (X,Y) = y 2 X2 2 2 ²** 3 as a first integral, find the correspoding for this function and draw the phase portrait-arrow_forwardQ/ show that the system has alimit cycle and draw phase portrait x = y + x ( 2-x²-y²)/(x² + y²) ½ 2 y = -x+y ( 2-x² - y²) / (x² + y²) ½/2arrow_forwardLet (x,y)~f(x,y) = x(x-1)! (x-y)! 0; y = x,... x = 0,1,..., y 1- Show that whether x and y are indep. or not? 2- p(x = y) e.w. مسلم مجید Muslim mathsarrow_forward
- Nicole organized a new corporation. The corporation began business on April 1 of year 1. She made the following expenditures associated with getting the corporation started: Expense Date Amount Attorney fees for articles of incorporation February 10 $ 40,500 March 1-March 30 wages March 30 6,550 March 1-March 30 rent Stock issuance costs March 30 2,850 April 1-May 30 wages Note: Leave no answer blank. Enter zero if applicable. April 1 May 30 24,000 16,375 c. What amount can the corporation deduct as amortization expense for the organizational expenditures and for the start-up costs for year 1 [not including the amount determined in part (b)]? Note: Round intermediate calculations to 2 decimal places and final answer to the nearest whole dollar amount. Start-up costs amortized Organizational expenditures amortizedarrow_forward3) Find the surface area of z -1≤ y ≤1 = 1 + x + y + x² over the rectangle -2 ≤ x ≤ 1 andarrow_forward2) Find the general solution to the differential equation d²x dt² 2 dax = dtarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Matrix Operations Full Length; Author: ProfRobBob;https://www.youtube.com/watch?v=K5BLNZw7UeU;License: Standard YouTube License, CC-BY
Intro to Matrices; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=yRwQ7A6jVLk;License: Standard YouTube License, CC-BY